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A Student's Guide to Fourier Transforms

A Student's Guide to Fourier Transforms PDF Author: John Francis James
Publisher: Cambridge University Press
ISBN: 9780521004282
Category : Mathematics
Languages : en
Pages : 156

Book Description
Fourier transform theory is of central importance in a vast range of applications in physical science, engineering, and applied mathematics. This new edition of a successful student text provides a concise introduction to the theory and practice of Fourier transforms, using qualitative arguments wherever possible and avoiding unnecessary mathematics. After a brief description of the basic ideas and theorems, the power of the technique is then illustrated by referring to particular applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of computer-aided tomography (CAT-scanning). The final chapter discusses digital methods, with particular attention to the fast Fourier transform. Throughout, discussion of these applications is reinforced by the inclusion of worked examples. The book assumes no previous knowledge of the subject, and will be invaluable to students of physics, electrical and electronic engineering, and computer science.

A Student's Guide to Fourier Transforms

A Student's Guide to Fourier Transforms PDF Author: John Francis James
Publisher: Cambridge University Press
ISBN: 9780521004282
Category : Mathematics
Languages : en
Pages : 156

Book Description
Fourier transform theory is of central importance in a vast range of applications in physical science, engineering, and applied mathematics. This new edition of a successful student text provides a concise introduction to the theory and practice of Fourier transforms, using qualitative arguments wherever possible and avoiding unnecessary mathematics. After a brief description of the basic ideas and theorems, the power of the technique is then illustrated by referring to particular applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of computer-aided tomography (CAT-scanning). The final chapter discusses digital methods, with particular attention to the fast Fourier transform. Throughout, discussion of these applications is reinforced by the inclusion of worked examples. The book assumes no previous knowledge of the subject, and will be invaluable to students of physics, electrical and electronic engineering, and computer science.

A Student's Guide to Fourier Transforms

A Student's Guide to Fourier Transforms PDF Author: J. F. James
Publisher: Cambridge University Press
ISBN: 1139493949
Category : Science
Languages : en
Pages : 161

Book Description
Fourier transform theory is of central importance in a vast range of applications in physical science, engineering and applied mathematics. Providing a concise introduction to the theory and practice of Fourier transforms, this book is invaluable to students of physics, electrical and electronic engineering, and computer science. After a brief description of the basic ideas and theorems, the power of the technique is illustrated through applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of Computer Axial Tomography (CAT scanning). The book concludes by discussing digital methods, with particular attention to the Fast Fourier Transform and its implementation. This new edition has been revised to include new and interesting material, such as convolution with a sinusoid, coherence, the Michelson stellar interferometer and the van Cittert–Zernike theorem, Babinet's principle and dipole arrays.

A Student's Guide to Fourier Transforms

A Student's Guide to Fourier Transforms PDF Author: John Francis James
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Book Description


A Student's Guide to Fourier Transforms

A Student's Guide to Fourier Transforms PDF Author: John Francis James (Physicien)
Publisher:
ISBN:
Category :
Languages : en
Pages : 131

Book Description


A Guide to Distribution Theory and Fourier Transforms

A Guide to Distribution Theory and Fourier Transforms PDF Author: Robert S. Strichartz
Publisher: World Scientific
ISBN: 9789812384300
Category : Mathematics
Languages : en
Pages : 238

Book Description
This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.A Guide to Distribution Theory and Fourier Transforms can serve as a textbook for parts of a course on Applied Analysis or Methods of Mathematical Physics, and in fact it is used that way at Cornell.

A Student's Guide to Laplace Transforms

A Student's Guide to Laplace Transforms PDF Author: Daniel Fleisch
Publisher: Cambridge University Press
ISBN: 1009098497
Category : Mathematics
Languages : en
Pages : 221

Book Description
Clear explanations and supportive online material develop an intuitive understanding of the meaning and use of Laplace.

Fourier and Laplace Transforms

Fourier and Laplace Transforms PDF Author:
Publisher: Cambridge University Press
ISBN: 9780521534413
Category : Mathematics
Languages : en
Pages : 468

Book Description
A 2003 textbook on Fourier and Laplace transforms for undergraduate and graduate students.

A Student's Guide to Waves

A Student's Guide to Waves PDF Author: Daniel Fleisch
Publisher: Cambridge University Press
ISBN: 1107054869
Category : Science
Languages : en
Pages : 231

Book Description
Written to complement course textbooks, this book focuses on the topics that undergraduates in physics and engineering find most difficult.

A Student's Guide to Infinite Series and Sequences

A Student's Guide to Infinite Series and Sequences PDF Author: Bernhard W. Bach, Jr.
Publisher: Cambridge University Press
ISBN: 1107059828
Category : Mathematics
Languages : en
Pages : 201

Book Description
An informal and practically focused introduction for undergraduate students exploring infinite series and sequences in engineering and the physical sciences. With a focus on practical applications in real world situations, it helps students to conceptualize the theory with real-world examples and to build their skill set.

A Student's Guide to the Schrödinger Equation

A Student's Guide to the Schrödinger Equation PDF Author: Daniel A. Fleisch
Publisher: Cambridge University Press
ISBN: 1108834736
Category : Mathematics
Languages : en
Pages : 237

Book Description
A clear guide to the key concepts and mathematical techniques underlying the Schrödinger equation, including homework problems and fully worked solutions.